Let n be the larger integer and n-2 be the smaller integer.
n² - (n - 2)²
= n² - (n - 2)(n - 2)
= n² - (n² - 4n - 4)
= n² - n² + 4n + 4
= 4n + 4
= 4(n + 1)
No matter what value n is, it will always be a multiple of 4.
Answer: 89 will go in the box
This means the exact distance between the two given points is
which approximates to roughly 9.4339811
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Explanation:
To get that answer, we can apply the distance formula
(x1,y1) = (-1,-5) is the first point
(x2,y2) = (4,3) is the second point
Plug the coordinates into the distance formula

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Alternative Method:
You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.
After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get
as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.
Answer:
a=8cm
Step-by-step explanation:
Because the triangles are similar, you can set the sides to be proportional
1. 16/16=8/a
2. If you cross multiply that mean that a=8
3 packages so there would be at least 21 invitiations
Answer:
900090090990909909090909063
Step-by-step explanation: